If –7 + 13i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?

Group of answer choices

7 + 13i


-7 - 13i


20i


-13i

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{2+3}{4-1} \\\frac{5}{3}[/tex]

So the slope is 5/3

Hope this helps you!

~Just a joyful teen

[tex]GraceRosalia :)[/tex]

9514 1404 393

Answer:

  A. d + j = 21,000; 2d − 2,000 = j

  d = $7,666.67; j = $13,333.33

Step-by-step explanation:

The relationships given in the problem statement are ...

  d + j = 21,000 . . . . .  the total of the two loans is $21,000

  2d -2000 = j . . . . . . Jen's is $2000 less than twice David's

__

These equations can be solved by substituting for j:

  d +(2d -2000) = 21000

  3d = 23000 . . . . . . . . . . . add 2000, collect terms

  d = 23000/3 = 7666.67 . . . divide by the coefficient of d

  j = 21000 -d = 21000 -7666.67 = 13333.33

Jen's loan is $13,333.33; David's loan is $7,666.67.

Answer: The new scale factor needs to be 10/3

Explanation:

Consider a line segment that is 10 units long. Apply the scale factor 3/10 to it, and now it's 3 units long because (3/10)*10 = 3.

To get it back to 10 units, we multiply by the scale factor 10/3 which is the reciprocal of the original scale factor. Note that (3/10)*(10/3) = 1. Those two scale factors multiply to 1 to indicate no change has been made overall.

Answer:

The slope is -5/3.

The y-intercept is (0,10).

Step-by-step explanation:

1. The slope-intercept form of any linear equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

2. Since -5/3 is in the place of m, the slope, that makes -5/3 the slope.

3. The y-intercept of a graph is the point where the graph intersects/crosses the y-axis. The x-coordinate of a point in any y-intercept will ALWAYS be 0.

4. Since 10 is in the place of b, the y-intercept, and given the information above, the y-intercept is (0,10).

Answer:

.21

Step-by-step explanation:

Just took on Edge

The value of P(A and B) = 0.21

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

P(A) = 0.42, P(B) = 0.5

As, events A and B are independent.

so, P(A and B)

= P (A) . P(B)

= 0.42 x 0.5

= 0.21

Hence, the value of P(A and B) = 0.21

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Answer:

Step-by-step explanation:

triangle area = b*h/2

base = 2*area : h

2 * 54 : 6 =

18

-------------------------------------

18*6:2= 54

the answer is good

Answer:

The probability of tossing heads and rolling either a 5 or 6 is possible (or unlikely). This because the probability of tossing heads is 1/2 and the probability of rolling a 5 or 6 is 1/6 so combined would be unlikely.

y = x - 880 ==》 x = y + 880 ( ☆ )

_________________________

3y = 1040 - x =☆=》 3y = 1040 - ( y + 880 )

====》 3y = 1040 - y - 880

====》 3y + y = 1040 - 880

====》 4y = 160

====》 y = 160 ÷ 4

====》 y = 40

Answer:

The answer is 24

Step-by-step explanation:

Answer:

The answer is 24 or D

Step-by-step explanation:

Well, first you need to figure out the equation in these [ ].

[-5 (2-4) ÷ 2]

[-5 (-2) ÷ 2] ---> -5(-2) = -5 x -2

[10 ÷ 2]

[5]

Then, you need to complete the equation in these { }

{3+[5]} OR {3+5}

{8}

Then, you need to finish the equation!

{8} · 3 OR 8 x 3

__________________________

Hope this helped!

Answer:

Move the decimal point in 407.26 three places to the left = 0.407283

Step-by-step explanation:

Answer:

3, left

Step-by-step explanation:

When you're dividing a number by any power of 10 that is a whole number (10, 100, 1000, etc.), you move the decimal point to the left as many times as there are zeroes in the digit.

Examples:

30.22 ÷ 100 = 0.3022

There are two zeroes in 100, so move the decimal point two spaces to the left.

568.9 ÷ 10000 = 0.05689

There are four zeroes in 10000, so move the decimal point four spaces to the left.

The given equation in the problem is 407.26 ÷ 1000, so you move the decimal point 3 spaces to the left to find the correct answer.

Answer:

ewan ko sayo tanong ka sa mama mo

Answer:

Step-by-step explanation:

For the translation find the distance between corresponding points of A and A'. It is 5 units.

We see the figures A' and A'' are symmetrical and the sides on the x-axis overlap. It means the center of dilation is the origin, the point (0, 0).

Find the scale factor by dividing the corresponding x- or y- coordinate of A'' to the one of A'.

Take points (-2, 0) of A' and (-3, 0) of A''.

The scale factor is:

Answer:

The slope of the graph is 7/10

Answer:

it's 4

Step-by-step explanation:

because

let's say

a. P = 100

T = 50

P = 3T - 50

= 3(50) - 50

= 150 - 50

= 100

and the same for the others

The equation of the profit will be P = 3T – 50. Then the correct option is 4.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The following chart shows the number of concert tickets sold and the profit earned.

Tickets Sold            Profit (dollars)

      50                             100

     100                            250

     150                            400

    200                            550

The equation that defines the profit (P) with respect to the number of tickets sold (T) will be

m = 250 – 100 / 100 – 50

m = 150 / 50

m = 3

Then the equation will be

y = 3m + c

For T = 150, P will be 400.

400 = 150 x 3 + c

400 = 450 + c

    c = –50

Then the equation of the profit will be

P = 3T – 50

Then the correct option is 4.

More about the equation of line link is given below.

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Answer:

The slope is [tex]\frac{9}{16}[/tex]

Step-by-step explanation:

Hi there!

We are given the points (29, 11) and (-3, -7), and we want to find the slope of them.

The slope can be calculated from two points with the slope formula, which is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points.

We have two points given, but let's label their values to avoid any confusion when we actually calculate:

[tex]x_1=29\\y_1=11\\x_2=-3\\y_2=-7[/tex]

Now substitute into the formula (m is the slope).

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-7-11}{-3-29}[/tex]

Subtract

m=[tex]\frac{-18}{-32}[/tex]

Reduce the fraction

m=[tex]\frac{9}{16}[/tex]

The slope is [tex]\frac{9}{16}[/tex]

Hope this helps!

In accordance with the query, we have 12.6% of $58.20. The closest tenth of one percent.

It really is 100 * 20 / 100 = 20percent . In this circumstance, percentages are useful. When describing a change from one % to another, we use percentage points. The difference between 10% and 12% is four percent respectively (or 20 percent).

Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary, we have following :

$7.30 is what percent of $58.20.

rate = (7.30 / 58.20) * 100

rate = 0.126034483 * 100 = 12.6%

Rounding to the nearest tenth of a percent, the rate is 12.6%.

So $7.30 is 12.6% of $58.20.

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Answer:

Step-by-step explanation:

  x + 6 I x³ + 2x²  - 10x + 84   I   x² - 4x + 14

              x³ + 6x²

            -     -      

                     -4x² - 10x

                    -4x²  - 24x

                    +       +    

                               14x + 84

                                14x + 84

                                -      -      

                                     0

P(x)  =(x +6)* ( x² - 4x + 14) + 0

Answer:

18

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Its an equilateral triangle so all angles and side lengths are the same.

2x-1=x+3

x=3+1

x=4

checking the work

4+3=8-1

7=7

Answer:

its=> 3×4=-3-6(use a caculator now)

Answer:

1. y-4=1/3(x-3)

used (3,4)

2. y-7=3(x-3)

used (3,7)

Answer:

57,600

Step-by-step explanation:

720 * 80 = 57,600

Answer:

9

Step-by-step explanation:

You divide the answer with the first number and you'll get the answer, 9.

Answer:

ninety eight thousand two hundred forty eight

Answer:

Ninety-eight-thousand-and-two-hundred-and-forty-eight

Step-by-step explanation:

Answer: 27428.571

Step-by-step explanation:

i just divided 1 by 1.75 then timesed it by 48000

Answer:

27 1/2

Step-by-step explanation:

8 5/8 + 12 = 20 5/8

3/4h = 20 5/8

Divide 20 5/8 by 3/4 = 27 1/2. Therefore h = 27 1/2.

Answer:

h=55/2

Step-by-step explanation:

3/4h-12=69/8 simply 8 5/8

+12. +12. add 12 to each side

multiply each side by 4/3

h=55/2 or 27 1/2

Answer:

x = X + 33 (I am guessing "x" and "X" are not the same. "x" is a variable and "X" is a constant.)

Step-by-step explanation:

31 - X + (2x+1) = x - 1

or, 2x+1 = x - 1 - 31 + X

or, 2x - x = -1 -31 + X -1

or, x = -2 -31 + X

or, x = X - 33

Answer:

answer = $30.85

Step-by-step explanation:

3 yards of fabric = $18.50 so 18.50 : 3 = 6.17 (dollars) for one yard of fabric the, just multiply it by 5, 6.17 x 5 = 30.85 dollars

Answer:

I think the first one is x < 2 and the second is x > 3